# Symbols:Real Analysis/Convolution of Real Sequences

## Convolution of Real Sequences

$\sequence {f_i} * \sequence {g_i}$

Let $\sequence f$ and $\sequence g$ be real sequences.

The convolution of $f$ and $g$ is defined as:

$\ds \sequence {f_i} * \sequence {g_i} := \sum_{j \mathop = 0}^i f_j g_{i - j}$

The $\LaTeX$ code for $\sequence {f_i} * \sequence {g_i}$ is \sequence {f_i} * \sequence {g_i} .